S3-free 2-fusion systems

DOI10.1017/S0013091512000235zbMath1278.20021MaRDI QIDQ4911200

Michael Aschbacher

Publication date: 14 March 2013

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupsSylow subgroupsfusion systems\(S_3\)-free groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

Saturated fusion systems with parabolic families. ⋮ Orders of real elements in finite groups ⋮ N-groups and fusion systems. ⋮ Saturated fusion systems as idempotents in the double Burnside ring. ⋮ Finite simple \(3'\)-groups are cyclic or Suzuki groups. ⋮ Subcentric linking systems ⋮ A characterization of the 2-fusion system of \(L_4(q)\). ⋮ A classification of finite locally 2-transitive generalized quadrangles ⋮ Fusion systems ⋮ Groups in which the co-degrees of the irreducible characters are distinct

Cites Work

• Frobenius categories versus Brauer blocks. The Grothendieck group of the Frobenius category of a Brauer block.
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